Finite Group Databasebeta

← C11×#14076 #14591269

Subgroups — C11×#14076 #14591269

Order 2816.

1946 conjugacy classes of subgroups.

The subgroup lattice has 1158 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C11×#390C211yesmaximal, characteristic
2C2×C11×#388C211yesmaximal, characteristic, complemented
3C2×C11×#388C211yesmaximal, characteristic, complemented
4C2×C11×#386C211yesmaximal, characteristic
5C2×C4×C11×C22⋊C4C211yesmaximal, characteristic, complemented
6C11×#1442C211yesmaximal, characteristic, complemented
7C11×#1440C211yesmaximal, characteristic, complemented
8C11×#1440C211yesmaximal, characteristic, complemented
9C11×#1438C211yesmaximal, characteristic
10C11×#1437C211yesmaximal, characteristic, complemented
11C11×#1437C211yesmaximal, characteristic, complemented
12C11×#1436C211yesmaximal, characteristic, complemented
13C11×#1436C211yesmaximal, characteristic, complemented
14C11×C22⋊#95C211yesmaximal, characteristic, complemented
15C4×C11×#95C211yesmaximal, characteristic, complemented
16C23×D4×C11C2211yescharacteristic
17C24×C4×C11C2211yescharacteristic
18C22×C11×C4⋊C4C2211yescharacteristic
19C22×C11×C4⋊C4C2211yescharacteristic
20C22×C11×C22⋊C4C2211yescharacteristic
21C22×C11×C22⋊C4C2211yescharacteristic
22C22×C11×C22⋊C4C2211yescharacteristic
23C22×C11×C22⋊C4C2211yescharacteristic
24C22×C11×C22⋊C4C2211yescharacteristic
25C22×C11×C22⋊C4C2211yescharacteristic
26C22×C11×C22⋊C4C2211yescharacteristic
27C22×C11×C22⋊C4C2211yescharacteristic
28C22×C11×C22⋊C4C2211yescharacteristic
29C22×C11×C22⋊C4C2211yescharacteristic
30C22×C11×C22⋊C4C2211yescharacteristic
31C22×C42×C11C2211yescharacteristic
32C22×C42×C11C2211yescharacteristic
33C22×C42×C11C2211yescharacteristic
34C22×C42×C11C2211yescharacteristic
35C11×#390—24no—
36C11×#388—24no—
37C11×#388—24no—
38C11×#386C418yescomplemented
39C4×C11×C22⋊C4—24no—
40C2×C11×#95C2211yescharacteristic
41C2×C11×#95C2211yescharacteristic
42C2×C11×#95C2211yescharacteristic
43C2×C11×#95C2211yescharacteristic
44C2×C11×#95C2211yescharacteristic
45C2×C11×#95C2211yescharacteristic
46C2×C11×#95C2211yescharacteristic
47C2×C11×#95C2211yescharacteristic
48C2×C11×#95C2211yescharacteristic
49C2×C11×#95C2211yescharacteristic
50C2×C11×#95C2211yescharacteristic
51C2×C11×#95C2211yescharacteristic
52C2×C11×#95C2211yescharacteristic
53C2×C11×#95C2211yescharacteristic
54C2×C11×#95C2211yescharacteristic
55C2×C11×#95C2211yescharacteristic
56C25×C11C2311yescharacteristic
57C25×C11C2311yescharacteristic
58C22×D4×C11—22no—
59C22×D4×C11—22no—
60C22×D4×C11—22no—
61C22×D4×C11—22no—
62C22×D4×C11—41no—
63C22×D4×C11—41no—
64C22×D4×C11C2×C414yes—
65C23×C4×C11—22no—
66C23×C4×C11—22no—
67C23×C4×C11—41no—
68C23×C4×C11—41no—
69C23×C4×C11—41no—
70C23×C4×C11—41no—
71C23×C4×C11C2×C414yes—
72C23×C4×C11C2311yescharacteristic
73C23×C4×C11C2311yescharacteristic
74C23×C4×C11C2311yescharacteristic
75C23×C4×C11C2311yescharacteristic
76C23×C4×C11C2311yescharacteristic
77C23×C4×C11C2311yescharacteristic
78C23×C4×C11C2311yescharacteristic
79C23×C4×C11C2311yescharacteristic
80C23×C4×C11C2311yescharacteristic
81C23×C4×C11C2311yescharacteristic
82C23×C4×C11C2311yescharacteristic
83C23×C4×C11C2311yescharacteristic
84C23×C4×C11C2311yescharacteristic
85C2×C11×C4⋊C4—22no—
86C2×C11×C4⋊C4—22no—
87C2×C11×C4⋊C4—22no—
88C2×C11×C4⋊C4—22no—
89C2×C11×C4⋊C4—22no—
90C2×C11×C4⋊C4—41no—
91C2×C11×C22⋊C4—22no—
92C2×C11×C22⋊C4—22no—
93C2×C11×C22⋊C4—22no—
94C2×C11×C22⋊C4—22no—
95C2×C11×C22⋊C4—22no—
96C2×C11×C22⋊C4—22no—
97C2×C11×C22⋊C4—22no—
98C2×C11×C22⋊C4—22no—
99C2×C11×C22⋊C4—22no—
100C2×C11×C22⋊C4—22no—
101C2×C11×C22⋊C4—22no—
102C2×C11×C22⋊C4—22no—
103C2×C11×C22⋊C4—22no—
104C2×C11×C22⋊C4—22no—
105C2×C11×C22⋊C4—22no—
106C2×C11×C22⋊C4—22no—
107C2×C11×C22⋊C4—22no—
108C2×C11×C22⋊C4—22no—
109C2×C11×C22⋊C4—22no—
110C2×C11×C22⋊C4—22no—
111C2×C11×C22⋊C4—22no—
112C2×C11×C22⋊C4—41no—
113C2×C11×C22⋊C4—41no—
114C2×C11×C22⋊C4—41no—
115C2×C11×C22⋊C4—41no—
116C2×C11×C22⋊C4—41no—
117C2×C11×C22⋊C4—41no—
118C2×C11×C22⋊C4—41no—
119C2×C11×C22⋊C4—41no—
120C2×C11×C22⋊C4C2×C414yes—
121C2×C11×C22⋊C4C2×C414yes—
122C2×C11×C22⋊C4C2×C414yes—
123C2×C11×C22⋊C4D414yes—
124C2×C42×C11—22no—
125C2×C42×C11—22no—
126C2×C42×C11—22no—
127C2×C42×C11—22no—
128C2×C42×C11—22no—
129C2×C42×C11—41no—
130C2×C42×C11—41no—
131C2×C42×C11—41no—
132C2×C42×C11—41no—
133C2×C42×C11—41no—
134C2×C42×C11—41no—
135C2×C42×C11D414yescomplemented
136C11×#95—22no—
137C11×#95—22no—
138C11×#95—22no—
139C11×#95—22no—
140C11×#95—22no—
141C11×#95—22no—
142C11×#95—22no—
143C11×#95—22no—
144C11×#95—22no—
145C11×#95—22no—
146C11×#95—22no—
147C11×#95—41no—
148C11×#95—41no—
149C11×#95—41no—
150C11×#95C2×C414yes—
151C11×#95C2×C414yes—
152#14076C1111yesmaximal, characteristic, direct product factor, Sylow
153C24×C11—21no—
154C24×C11—21no—
155C24×C11—21no—
156C24×C11—21no—
157C24×C11—21no—
158C24×C11—21no—
159C24×C11—21no—
160C24×C11—21no—
161C24×C11—21no—
162C24×C11—21no—
163C24×C11—21no—
164C24×C11—21no—
165C24×C11—21no—
166C24×C11—21no—
167C24×C11—21no—
168C24×C11—21no—
169C24×C11—21no—
170C24×C11—21no—
171C24×C11—21no—
172C24×C11—21no—
173C24×C11—21no—
174C24×C11—21no—
175C24×C11—21no—
176C24×C11—21no—
177C24×C11—21no—
178C24×C11—21no—
179C24×C11C22×C412yes—
180C24×C11C22×C412yes—
181C24×C11C2×D412yes—
182C24×C11#4112yes—
183C24×C11C2411yescharacteristic
184C2×D4×C11—28no—
185C2×D4×C11—28no—
186C2×D4×C11—44no—
187C2×D4×C11—44no—
188C2×D4×C11—44no—
189C2×D4×C11—44no—
190C2×D4×C11—44no—
191C22×C4×C11—21no—
192C22×C4×C11—21no—
193C22×C4×C11—21no—
194C22×C4×C11—21no—
195C22×C4×C11—21no—
196C22×C4×C11—21no—
197C22×C4×C11—21no—
198C22×C4×C11—21no—
199C22×C4×C11—21no—
200C22×C4×C11—21no—
201C22×C4×C11—21no—
202C22×C4×C11—21no—
203C22×C4×C11—21no—
204C22×C4×C11—21no—
205C22×C4×C11—21no—
206C22×C4×C11—21no—
207C22×C4×C11—21no—
208C22×C4×C11—21no—
209C22×C4×C11—21no—
210C22×C4×C11—21no—
211C22×C4×C11—21no—
212C22×C4×C11—21no—
213C22×C4×C11—21no—
214C22×C4×C11—21no—
215C22×C4×C11—21no—
216C22×C4×C11—21no—
217C22×C4×C11—21no—
218C22×C4×C11—21no—
219C22×C4×C11—21no—
220C22×C4×C11—21no—
221C22×C4×C11—21no—
222C22×C4×C11—21no—
223C22×C4×C11—21no—
224C22×C4×C11—21no—
225C22×C4×C11—21no—
226C22×C4×C11—21no—
227C22×C4×C11—21no—
228C22×C4×C11—21no—
229C22×C4×C11—21no—
230C22×C4×C11—21no—
231C22×C4×C11—21no—
232C22×C4×C11—21no—
233C22×C4×C11—21no—
234C22×C4×C11—21no—
235C22×C4×C11—21no—
236C22×C4×C11—21no—
237C22×C4×C11—21no—
238C22×C4×C11—21no—
239C22×C4×C11—21no—
240C22×C4×C11—21no—
241C22×C4×C11—21no—
242C22×C4×C11—21no—
243C22×C4×C11—21no—
244C22×C4×C11—21no—
245C22×C4×C11—21no—
246C22×C4×C11—21no—
247C22×C4×C11—21no—
248C22×C4×C11—21no—
249C22×C4×C11—21no—
250C22×C4×C11—21no—
251C22×C4×C11—28no—
252C22×C4×C11—21no—
253C22×C4×C11—21no—
254C22×C4×C11—21no—
255C22×C4×C11—21no—
256C22×C4×C11—21no—
257C22×C4×C11—21no—
258C22×C4×C11—21no—
259C22×C4×C11—21no—
260C22×C4×C11—21no—
261C22×C4×C11—21no—
262C22×C4×C11—21no—
263C22×C4×C11—21no—
264C22×C4×C11—21no—
265C22×C4×C11—21no—
266C22×C4×C11—44no—
267C22×C4×C11—44no—
268C22×C4×C11—44no—
269C22×C4×C11—44no—
270C22×C4×C11—44no—
271C22×C4×C11—44no—
272C22×C4×C11C22×C412yes—
273C22×C4×C11C22×C412yes—
274C22×C4×C11C22×C412yes—
275C22×C4×C11C22×C412yes—
276C22×C4×C11C22×C412yes—
277C22×C4×C11C2×D412yes—
278C22×C4×C11C2×D412yes—
279C22×C4×C11C2×D412yes—
280C22×C4×C11C2×D412yes—
281C22×C4×C11C2×D412yes—
282C22×C4×C11#4112yes—
283C22×C4×C11#4112yes—
284C22×C4×C11#4112yes—
285C22×C4×C11#4112yes—
286C22×C4×C11#4112yes—
287C22×C4×C11#4112yes—
288C22×C4×C11#4112yes—
289C11×C4⋊C4—44no—
290C11×C4⋊C4—44no—
291C11×C22⋊C4—28no—
292C11×C22⋊C4—28no—
293C11×C22⋊C4—28no—
294C11×C22⋊C4—28no—
295C11×C22⋊C4—44no—
296C11×C22⋊C4—44no—
297C11×C22⋊C4—44no—
298C11×C22⋊C4—44no—
299C11×C22⋊C4—44no—
300C11×C22⋊C4—44no—
301C11×C22⋊C4—44no—
302C42×C11—44no—
303C42×C11—44no—
304C42×C11—44no—
305C42×C11—44no—
306C2×#390C2×C1111yescharacteristic
307C2×#388C2×C1111yescharacteristic, complemented
308C2×#388C2×C1111yescharacteristic, complemented
309C2×#386C2×C1111yescharacteristic
310C2×C4×C22⋊C4C2×C1111yescharacteristic, complemented
311#1442C2×C1111yescharacteristic, complemented
312#1440C2×C1111yescharacteristic, complemented
313#1440C2×C1111yescharacteristic, complemented
314#1438C2×C1111yescharacteristic
315#1437C2×C1111yescharacteristic, complemented
316#1437C2×C1111yescharacteristic, complemented
317#1436C2×C1111yescharacteristic, complemented
318#1436C2×C1111yescharacteristic, complemented
319C22⋊#95C2×C1111yescharacteristic, complemented
320C4×#95C2×C1111yescharacteristic, complemented
321C23×C11—22no—
322C23×C11—22no—
323C23×C11—22no—
324C23×C11—22no—
325C23×C11—22no—
326C23×C11—22no—
327C23×C11—22no—
328C23×C11—22no—
329C23×C11—22no—
330C23×C11—22no—
331C23×C11—22no—
332C23×C11—22no—
333C23×C11—22no—
334C23×C11—22no—
335C23×C11—22no—
336C23×C11—22no—
337C23×C11—22no—
338C23×C11—22no—
339C23×C11—22no—
340C23×C11—22no—
341C23×C11—22no—
342C23×C11—22no—
343C23×C11—22no—
344C23×C11—22no—
345C23×C11—22no—
346C23×C11—41no—
347C23×C11—41no—
348C23×C11—41no—
349C23×C11—41no—
350C23×C11—41no—
351C23×C11—41no—
352C23×C11—41no—
353C23×C11—41no—
354C23×C11—41no—
355C23×C11—41no—
356C23×C11—41no—
357C23×C11—41no—
358C23×C11—41no—
359C23×C11—41no—
360C23×C11—41no—
361C23×C11—41no—
362C23×C11—41no—
363C23×C11—41no—
364C23×C11—41no—
365C23×C11—41no—
366C23×C11—41no—
367C23×C11—41no—
368C23×C11—41no—
369C23×C11—41no—
370C23×C11—41no—
371C23×C11—41no—
372C23×C11—41no—
373C23×C11—41no—
374C23×C11—41no—
375C23×C11—41no—
376C23×C11—41no—
377C23×C11—41no—
378C23×C11—41no—
379C23×C11—41no—
380C23×C11—41no—
381C23×C11—41no—
382C23×C11—41no—
383C23×C11—41no—
384C23×C11—41no—
385C23×C11—41no—
386C23×C11—41no—
387C23×C11—41no—
388C23×C11—41no—
389C23×C11—41no—
390C23×C11C4×D414yes—
391C23×C11C23×C411yescharacteristic
392C23×C11C22×D411yescharacteristic
393C23×C11C22×D411yescharacteristic
394C23×C11C2×#4111yescharacteristic
395C23×C11C2×#4111yescharacteristic
396C23×C11C2×#4111yescharacteristic
397C23×C11C2×#4111yescharacteristic
398C23×C11C2×#4111yescharacteristic
399C23×C11C2×#4111yescharacteristic
400C23×C11C2×#4111yescharacteristic
401C23×C11C2×#4111yescharacteristic
402C23×C11H(5,𝔽2)11yescharacteristic
403C23×C11H(5,𝔽2)11yescharacteristic
404C23×C11H(5,𝔽2)11yescharacteristic
405C23×C11H(5,𝔽2)11yescharacteristic
406D4×C11—416no—
407C2×C4×C11—22no—
408C2×C4×C11—22no—
409C2×C4×C11—22no—
410C2×C4×C11—22no—
411C2×C4×C11—22no—
412C2×C4×C11—22no—
413C2×C4×C11—22no—
414C2×C4×C11—22no—
415C2×C4×C11—22no—
416C2×C4×C11—22no—
417C2×C4×C11—22no—
418C2×C4×C11—22no—
419C2×C4×C11—22no—
420C2×C4×C11—22no—
421C2×C4×C11—22no—
422C2×C4×C11—22no—
423C2×C4×C11—22no—
424C2×C4×C11—22no—
425C2×C4×C11—22no—
426C2×C4×C11—22no—
427C2×C4×C11—22no—
428C2×C4×C11—22no—
429C2×C4×C11—22no—
430C2×C4×C11—22no—
431C2×C4×C11—22no—
432C2×C4×C11—22no—
433C2×C4×C11—22no—
434C2×C4×C11—22no—
435C2×C4×C11—22no—
436C2×C4×C11—22no—
437C2×C4×C11—22no—
438C2×C4×C11—22no—
439C2×C4×C11—22no—
440C2×C4×C11—22no—
441C2×C4×C11—22no—
442C2×C4×C11—22no—
443C2×C4×C11—22no—
444C2×C4×C11—22no—
445C2×C4×C11—22no—
446C2×C4×C11—22no—
447C2×C4×C11—22no—
448C2×C4×C11—22no—
449C2×C4×C11—416no—
450C2×C4×C11—41no—
451C2×C4×C11—41no—
452C2×C4×C11—41no—
453C2×C4×C11—41no—
454C2×C4×C11—41no—
455C2×C4×C11—41no—
456C2×C4×C11—41no—
457C2×C4×C11—41no—
458C2×C4×C11—41no—
459C2×C4×C11—41no—
460C2×C4×C11—41no—
461C2×C4×C11—41no—
462C2×C4×C11—41no—
463C2×C4×C11—41no—
464C2×C4×C11—41no—
465C2×C4×C11—41no—
466C2×C4×C11—41no—
467C2×C4×C11—41no—
468C2×C4×C11—41no—
469C2×C4×C11—41no—
470C2×C4×C11—41no—
471C2×C4×C11—41no—
472C2×C4×C11—41no—
473C2×C4×C11—41no—
474C2×C4×C11—41no—
475C2×C4×C11—41no—
476C2×C4×C11—41no—
477C2×C4×C11—41no—
478C2×C4×C11—41no—
479C2×C4×C11—41no—
480C2×C4×C11—41no—
481C2×C4×C11—41no—
482C2×C4×C11—41no—
483C2×C4×C11—41no—
484C2×C4×C11—41no—
485C2×C4×C11—41no—
486C2×C4×C11—41no—
487C2×C4×C11—41no—
488C2×C4×C11—41no—
489C2×C4×C11—41no—
490C2×C4×C11—41no—
491C2×C4×C11—41no—
492C2×C4×C11—41no—
493C2×C4×C11—41no—
494C2×C4×C11—41no—
495C2×C4×C11—41no—
496C2×C4×C11#11714yes—
497C2×C4×C11C4×D414yes—
498C2×C4×C11#12114yes—
499C23×D4C22×C1111yescharacteristic
500C24×C4C22×C1111yescharacteristic
501C22×C4⋊C4C22×C1111yescharacteristic
502C22×C4⋊C4C22×C1111yescharacteristic
503C22×C22⋊C4C22×C1111yescharacteristic
504C22×C22⋊C4C22×C1111yescharacteristic
505C22×C22⋊C4C22×C1111yescharacteristic
506C22×C22⋊C4C22×C1111yescharacteristic
507C22×C22⋊C4C22×C1111yescharacteristic
508C22×C22⋊C4C22×C1111yescharacteristic
509C22×C22⋊C4C22×C1111yescharacteristic
510C22×C22⋊C4C22×C1111yescharacteristic
511C22×C22⋊C4C22×C1111yescharacteristic
512C22×C22⋊C4C22×C1111yescharacteristic
513C22×C22⋊C4C22×C1111yescharacteristic
514C22×C42C22×C1111yescharacteristic
515C22×C42C22×C1111yescharacteristic
516C22×C42C22×C1111yescharacteristic
517C22×C42C22×C1111yescharacteristic
518#390—24no—
519#388—24no—
520#388—24no—
521#386C4×C1118yescomplemented
522C4×C22⋊C4—24no—
523C2×#95C22×C1111yescharacteristic
524C2×#95C22×C1111yescharacteristic
525C2×#95C22×C1111yescharacteristic
526C2×#95C22×C1111yescharacteristic
527C2×#95C22×C1111yescharacteristic
528C2×#95C22×C1111yescharacteristic
529C2×#95C22×C1111yescharacteristic
530C2×#95C22×C1111yescharacteristic
531C2×#95C22×C1111yescharacteristic
532C2×#95C22×C1111yescharacteristic
533C2×#95C22×C1111yescharacteristic
534C2×#95C22×C1111yescharacteristic
535C2×#95C22×C1111yescharacteristic
536C2×#95C22×C1111yescharacteristic
537C2×#95C22×C1111yescharacteristic
538C2×#95C22×C1111yescharacteristic
539C22×C11—24no—
540C22×C11—24no—
541C22×C11—24no—
542C22×C11—42no—
543C22×C11—42no—
544C22×C11—42no—
545C22×C11—42no—
546C22×C11—42no—
547C22×C11—42no—
548C22×C11—42no—
549C22×C11—42no—
550C22×C11—42no—
551C22×C11—42no—
552C22×C11—42no—
553C22×C11—42no—
554C22×C11—42no—
555C22×C11—42no—
556C22×C11—42no—
557C22×C11—42no—
558C22×C11—42no—
559C22×C11—42no—
560C22×C11—42no—
561C22×C11—81no—
562C22×C11—81no—
563C22×C11—81no—
564C22×C11—81no—
565C22×C11—81no—
566C22×C11—81no—
567C22×C11—81no—
568C22×C11—81no—
569C22×C11C2×#11711yescharacteristic
570C22×C11C2×C4×D411yescharacteristic
571C22×C11C2×C4×D411yescharacteristic
572C22×C11C4×#4111yescharacteristic
573C22×C11C4×#4111yescharacteristic
574C22×C11#51811yescharacteristic
575C22×C11#51811yescharacteristic
576C22×C11C2×#12111yescharacteristic
577C22×C11#52511yescharacteristic
578C22×C11#52911yescharacteristic
579C22×C11#52911yescharacteristic
580C22×C11#52911yescharacteristic
581C22×C11#53211yescharacteristic
582C22×C11#53211yescharacteristic
583C22×C11#53211yescharacteristic
584C22×C11#53411yescharacteristic
585C22×C11#53511yescharacteristic
586C22×C11#53811yescharacteristic
587C22×C11#53811yescharacteristic
588C22×C11#54611yescharacteristic
589C22×C11#54611yescharacteristic
590C22×C11#54611yescharacteristic
591C22×C11#54611yescharacteristic
592C22×C11#55111yescharacteristic
593C22×C11#55111yescharacteristic
594C22×C11#55111yescharacteristic
595C22×C11#55311yescharacteristic
596C22×C11#55311yescharacteristic
597C22×C11#55311yescharacteristic
598C22×C11#55311yescharacteristic
599C22×C11#55311yescharacteristic
600C22×C11#55311yescharacteristic
601C22×C11#55911yescharacteristic
602C22×C11#55911yescharacteristic
603C22×C11#55911yescharacteristic
604C4×C11—24no—
605C4×C11—24no—
606C4×C11—24no—
607C4×C11—42no—
608C4×C11—42no—
609C4×C11—42no—
610C4×C11—42no—
611C4×C11—42no—
612C4×C11—42no—
613C4×C11—42no—
614C4×C11—42no—
615C4×C11—81no—
616C4×C11—81no—
617C25C23×C1111yescharacteristic
618C25C23×C1111yescharacteristic
619C22×D4—22no—
620C22×D4—22no—
621C22×D4—22no—
622C22×D4—22no—
623C22×D4—41no—
624C22×D4—41no—
625C22×D4C2×C4×C1114yes—
626C23×C4—22no—
627C23×C4—22no—
628C23×C4—41no—
629C23×C4—41no—
630C23×C4—41no—
631C23×C4—41no—
632C23×C4C2×C4×C1114yes—
633C23×C4C23×C1111yescharacteristic
634C23×C4C23×C1111yescharacteristic
635C23×C4C23×C1111yescharacteristic
636C23×C4C23×C1111yescharacteristic
637C23×C4C23×C1111yescharacteristic
638C23×C4C23×C1111yescharacteristic
639C23×C4C23×C1111yescharacteristic
640C23×C4C23×C1111yescharacteristic
641C23×C4C23×C1111yescharacteristic
642C23×C4C23×C1111yescharacteristic
643C23×C4C23×C1111yescharacteristic
644C23×C4C23×C1111yescharacteristic
645C23×C4C23×C1111yescharacteristic
646C2×C4⋊C4—22no—
647C2×C4⋊C4—22no—
648C2×C4⋊C4—22no—
649C2×C4⋊C4—22no—
650C2×C4⋊C4—22no—
651C2×C4⋊C4—41no—
652C2×C22⋊C4—22no—
653C2×C22⋊C4—22no—
654C2×C22⋊C4—22no—
655C2×C22⋊C4—22no—
656C2×C22⋊C4—22no—
657C2×C22⋊C4—22no—
658C2×C22⋊C4—22no—
659C2×C22⋊C4—22no—
660C2×C22⋊C4—22no—
661C2×C22⋊C4—22no—
662C2×C22⋊C4—22no—
663C2×C22⋊C4—22no—
664C2×C22⋊C4—22no—
665C2×C22⋊C4—22no—
666C2×C22⋊C4—22no—
667C2×C22⋊C4—22no—
668C2×C22⋊C4—22no—
669C2×C22⋊C4—22no—
670C2×C22⋊C4—22no—
671C2×C22⋊C4—22no—
672C2×C22⋊C4—22no—
673C2×C22⋊C4—41no—
674C2×C22⋊C4—41no—
675C2×C22⋊C4—41no—
676C2×C22⋊C4—41no—
677C2×C22⋊C4—41no—
678C2×C22⋊C4—41no—
679C2×C22⋊C4—41no—
680C2×C22⋊C4—41no—
681C2×C22⋊C4C2×C4×C1114yes—
682C2×C22⋊C4C2×C4×C1114yes—
683C2×C22⋊C4C2×C4×C1114yes—
684C2×C22⋊C4D4×C1114yes—
685C2×C42—22no—
686C2×C42—22no—
687C2×C42—22no—
688C2×C42—22no—
689C2×C42—22no—
690C2×C42—41no—
691C2×C42—41no—
692C2×C42—41no—
693C2×C42—41no—
694C2×C42—41no—
695C2×C42—41no—
696C2×C42D4×C1114yescomplemented
697#95—22no—
698#95—22no—
699#95—22no—
700#95—22no—
701#95—22no—
702#95—22no—
703#95—22no—
704#95—22no—
705#95—22no—
706#95—22no—
707#95—22no—
708#95—41no—
709#95—41no—
710#95—41no—
711#95C2×C4×C1114yes—
712#95C2×C4×C1114yes—
713C2×C11—44no—
714C2×C11—82no—
715C2×C11#229311yescharacteristic
716C2×C11C4×#12111yescharacteristic
717C2×C11#232111yescharacteristic
718C2×C11#234211yescharacteristic
719C2×C11#235711yescharacteristic
720C2×C11#236411yescharacteristic
721C2×C11#237411yescharacteristic
722C2×C11#254311yescharacteristic
723C2×C11#254411yescharacteristic
724C2×C11#255711yescharacteristic
725C2×C11#255911yescharacteristic
726C2×C11#259511yescharacteristic
727C2×C11#259711yescharacteristic
728C2×C11#260211yescharacteristic
729C2×C11#260311yescharacteristic
730C24—21no—
731C24—21no—
732C24—21no—
733C24—21no—
734C24—21no—
735C24—21no—
736C24—21no—
737C24—21no—
738C24—21no—
739C24—21no—
740C24—21no—
741C24—21no—
742C24—21no—
743C24—21no—
744C24—21no—
745C24—21no—
746C24—21no—
747C24—21no—
748C24—21no—
749C24—21no—
750C24—21no—
751C24—21no—
752C24—21no—
753C24—21no—
754C24—21no—
755C24—21no—
756C24C22×C4×C1112yes—
757C24C22×C4×C1112yes—
758C24C2×D4×C1112yes—
759C24C11×#4112yes—
760C24C24×C1111yescharacteristic
761C2×D4—28no—
762C2×D4—28no—
763C2×D4—44no—
764C2×D4—44no—
765C2×D4—44no—
766C2×D4—44no—
767C2×D4—44no—
768C22×C4—21no—
769C22×C4—21no—
770C22×C4—21no—
771C22×C4—21no—
772C22×C4—21no—
773C22×C4—21no—
774C22×C4—21no—
775C22×C4—21no—
776C22×C4—21no—
777C22×C4—21no—
778C22×C4—21no—
779C22×C4—21no—
780C22×C4—21no—
781C22×C4—21no—
782C22×C4—21no—
783C22×C4—21no—
784C22×C4—21no—
785C22×C4—21no—
786C22×C4—21no—
787C22×C4—21no—
788C22×C4—21no—
789C22×C4—21no—
790C22×C4—21no—
791C22×C4—21no—
792C22×C4—21no—
793C22×C4—21no—
794C22×C4—21no—
795C22×C4—21no—
796C22×C4—21no—
797C22×C4—21no—
798C22×C4—21no—
799C22×C4—21no—
800C22×C4—21no—
801C22×C4—21no—
802C22×C4—21no—
803C22×C4—21no—
804C22×C4—21no—
805C22×C4—21no—
806C22×C4—21no—
807C22×C4—21no—
808C22×C4—21no—
809C22×C4—21no—
810C22×C4—21no—
811C22×C4—21no—
812C22×C4—21no—
813C22×C4—21no—
814C22×C4—21no—
815C22×C4—21no—
816C22×C4—21no—
817C22×C4—21no—
818C22×C4—21no—
819C22×C4—21no—
820C22×C4—21no—
821C22×C4—21no—
822C22×C4—21no—
823C22×C4—21no—
824C22×C4—21no—
825C22×C4—21no—
826C22×C4—21no—
827C22×C4—21no—
828C22×C4—28no—
829C22×C4—21no—
830C22×C4—21no—
831C22×C4—21no—
832C22×C4—21no—
833C22×C4—21no—
834C22×C4—21no—
835C22×C4—21no—
836C22×C4—21no—
837C22×C4—21no—
838C22×C4—21no—
839C22×C4—21no—
840C22×C4—21no—
841C22×C4—21no—
842C22×C4—21no—
843C22×C4—44no—
844C22×C4—44no—
845C22×C4—44no—
846C22×C4—44no—
847C22×C4—44no—
848C22×C4—44no—
849C22×C4C22×C4×C1112yes—
850C22×C4C22×C4×C1112yes—
851C22×C4C22×C4×C1112yes—
852C22×C4C22×C4×C1112yes—
853C22×C4C22×C4×C1112yes—
854C22×C4C2×D4×C1112yes—
855C22×C4C2×D4×C1112yes—
856C22×C4C2×D4×C1112yes—
857C22×C4C2×D4×C1112yes—
858C22×C4C2×D4×C1112yes—
859C22×C4C11×#4112yes—
860C22×C4C11×#4112yes—
861C22×C4C11×#4112yes—
862C22×C4C11×#4112yes—
863C22×C4C11×#4112yes—
864C22×C4C11×#4112yes—
865C22×C4C11×#4112yes—
866C4⋊C4—44no—
867C4⋊C4—44no—
868C22⋊C4—28no—
869C22⋊C4—28no—
870C22⋊C4—28no—
871C22⋊C4—28no—
872C22⋊C4—44no—
873C22⋊C4—44no—
874C22⋊C4—44no—
875C22⋊C4—44no—
876C22⋊C4—44no—
877C22⋊C4—44no—
878C22⋊C4—44no—
879C42—44no—
880C42—44no—
881C42—44no—
882C42—44no—
883C11#1407611yescharacteristic, direct product factor, Sylow
884C23—22no—
885C23—22no—
886C23—22no—
887C23—22no—
888C23—22no—
889C23—22no—
890C23—22no—
891C23—22no—
892C23—22no—
893C23—22no—
894C23—22no—
895C23—22no—
896C23—22no—
897C23—22no—
898C23—22no—
899C23—22no—
900C23—22no—
901C23—22no—
902C23—22no—
903C23—22no—
904C23—22no—
905C23—22no—
906C23—22no—
907C23—22no—
908C23—22no—
909C23—41no—
910C23—41no—
911C23—41no—
912C23—41no—
913C23—41no—
914C23—41no—
915C23—41no—
916C23—41no—
917C23—41no—
918C23—41no—
919C23—41no—
920C23—41no—
921C23—41no—
922C23—41no—
923C23—41no—
924C23—41no—
925C23—41no—
926C23—41no—
927C23—41no—
928C23—41no—
929C23—41no—
930C23—41no—
931C23—41no—
932C23—41no—
933C23—41no—
934C23—41no—
935C23—41no—
936C23—41no—
937C23—41no—
938C23—41no—
939C23—41no—
940C23—41no—
941C23—41no—
942C23—41no—
943C23—41no—
944C23—41no—
945C23—41no—
946C23—41no—
947C23—41no—
948C23—41no—
949C23—41no—
950C23—41no—
951C23—41no—
952C23—41no—
953C23C4×D4×C1114yes—
954C23C23×C4×C1111yescharacteristic
955C23C22×D4×C1111yescharacteristic
956C23C22×D4×C1111yescharacteristic
957C23C2×C11×#4111yescharacteristic
958C23C2×C11×#4111yescharacteristic
959C23C2×C11×#4111yescharacteristic
960C23C2×C11×#4111yescharacteristic
961C23C2×C11×#4111yescharacteristic
962C23C2×C11×#4111yescharacteristic
963C23C2×C11×#4111yescharacteristic
964C23C2×C11×#4111yescharacteristic
965C23C11×H(5,𝔽2)11yescharacteristic
966C23C11×H(5,𝔽2)11yescharacteristic
967C23C11×H(5,𝔽2)11yescharacteristic
968C23C11×H(5,𝔽2)11yescharacteristic
969D4—416no—
970C2×C4—22no—
971C2×C4—22no—
972C2×C4—22no—
973C2×C4—22no—
974C2×C4—22no—
975C2×C4—22no—
976C2×C4—22no—
977C2×C4—22no—
978C2×C4—22no—
979C2×C4—22no—
980C2×C4—22no—
981C2×C4—22no—
982C2×C4—22no—
983C2×C4—22no—
984C2×C4—22no—
985C2×C4—22no—
986C2×C4—22no—
987C2×C4—22no—
988C2×C4—22no—
989C2×C4—22no—
990C2×C4—22no—
991C2×C4—22no—
992C2×C4—22no—
993C2×C4—22no—
994C2×C4—22no—
995C2×C4—22no—
996C2×C4—22no—
997C2×C4—22no—
998C2×C4—22no—
999C2×C4—22no—
1000C2×C4—22no—
1001C2×C4—22no—
1002C2×C4—22no—
1003C2×C4—22no—
1004C2×C4—22no—
1005C2×C4—22no—
1006C2×C4—22no—
1007C2×C4—22no—
1008C2×C4—22no—
1009C2×C4—22no—
1010C2×C4—22no—
1011C2×C4—22no—
1012C2×C4—416no—
1013C2×C4—41no—
1014C2×C4—41no—
1015C2×C4—41no—
1016C2×C4—41no—
1017C2×C4—41no—
1018C2×C4—41no—
1019C2×C4—41no—
1020C2×C4—41no—
1021C2×C4—41no—
1022C2×C4—41no—
1023C2×C4—41no—
1024C2×C4—41no—
1025C2×C4—41no—
1026C2×C4—41no—
1027C2×C4—41no—
1028C2×C4—41no—
1029C2×C4—41no—
1030C2×C4—41no—
1031C2×C4—41no—
1032C2×C4—41no—
1033C2×C4—41no—
1034C2×C4—41no—
1035C2×C4—41no—
1036C2×C4—41no—
1037C2×C4—41no—
1038C2×C4—41no—
1039C2×C4—41no—
1040C2×C4—41no—
1041C2×C4—41no—
1042C2×C4—41no—
1043C2×C4—41no—
1044C2×C4—41no—
1045C2×C4—41no—
1046C2×C4—41no—
1047C2×C4—41no—
1048C2×C4—41no—
1049C2×C4—41no—
1050C2×C4—41no—
1051C2×C4—41no—
1052C2×C4—41no—
1053C2×C4—41no—
1054C2×C4—41no—
1055C2×C4—41no—
1056C2×C4—41no—
1057C2×C4—41no—
1058C2×C4—41no—
1059C2×C4C11×#11714yes—
1060C2×C4C4×D4×C1114yes—
1061C2×C4C11×#12114yes—
1062C22—24no—
1063C22—24no—
1064C22—24no—
1065C22—42no—
1066C22—42no—
1067C22—42no—
1068C22—42no—
1069C22—42no—
1070C22—42no—
1071C22—42no—
1072C22—42no—
1073C22—42no—
1074C22—42no—
1075C22—42no—
1076C22—42no—
1077C22—42no—
1078C22—42no—
1079C22—42no—
1080C22—42no—
1081C22—42no—
1082C22—42no—
1083C22—42no—
1084C22—81no—
1085C22—81no—
1086C22—81no—
1087C22—81no—
1088C22—81no—
1089C22—81no—
1090C22—81no—
1091C22—81no—
1092C22C2×C11×#11711yescharacteristic
1093C22C2×C4×D4×C1111yescharacteristic
1094C22C2×C4×D4×C1111yescharacteristic
1095C22C4×C11×#4111yescharacteristic
1096C22C4×C11×#4111yescharacteristic
1097C22C11×#51811yescharacteristic
1098C22C11×#51811yescharacteristic
1099C22C2×C11×#12111yescharacteristic
1100C22C11×#52511yescharacteristic
1101C22C11×#52911yescharacteristic
1102C22C11×#52911yescharacteristic
1103C22C11×#52911yescharacteristic
1104C22C11×#53211yescharacteristic
1105C22C11×#53211yescharacteristic
1106C22C11×#53211yescharacteristic
1107C22C11×#53411yescharacteristic
1108C22C11×#53511yescharacteristic
1109C22C11×#53811yescharacteristic
1110C22C11×#53811yescharacteristic
1111C22C11×#54611yescharacteristic
1112C22C11×#54611yescharacteristic
1113C22C11×#54611yescharacteristic
1114C22C11×#54611yescharacteristic
1115C22C11×#55111yescharacteristic
1116C22C11×#55111yescharacteristic
1117C22C11×#55111yescharacteristic
1118C22C11×#55311yescharacteristic
1119C22C11×#55311yescharacteristic
1120C22C11×#55311yescharacteristic
1121C22C11×#55311yescharacteristic
1122C22C11×#55311yescharacteristic
1123C22C11×#55311yescharacteristic
1124C22C11×#55911yescharacteristic
1125C22C11×#55911yescharacteristic
1126C22C11×#55911yescharacteristic
1127C4—24no—
1128C4—24no—
1129C4—24no—
1130C4—42no—
1131C4—42no—
1132C4—42no—
1133C4—42no—
1134C4—42no—
1135C4—42no—
1136C4—42no—
1137C4—42no—
1138C4—81no—
1139C4—81no—
1140C2—44no—
1141C2—82no—
1142C2C11×#229311yescharacteristic
1143C2C4×C11×#12111yescharacteristic
1144C2C11×#232111yescharacteristic
1145C2C11×#234211yescharacteristic
1146C2C11×#235711yescharacteristic
1147C2C11×#236411yescharacteristic
1148C2C11×#237411yescharacteristic
1149C2C11×#254311yescharacteristic
1150C2C11×#254411yescharacteristic
1151C2C11×#255711yescharacteristic
1152C2C11×#255911yescharacteristic
1153C2C11×#259511yescharacteristic
1154C2C11×#259711yescharacteristic
1155C2C11×#260211yescharacteristic
1156C2C11×#260311yescharacteristic
subgroupG/H
center, socleC24×C11C24
commutatorC23C23×C4×C11
Frattini, cosocleC24C24×C11
prime radicalC23×D4×C11C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C11 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C2×C11×#388C2semidirect
3. C2×C11×#388C2semidirect
5. C2×C4×C11×C22⋊C4C2semidirect
6. C11×#1442C2semidirect
7. C11×#1440C2semidirect
8. C11×#1440C2semidirect
10. C11×#1437C2semidirect
11. C11×#1437C2semidirect
12. C11×#1436C2semidirect
13. C11×#1436C2semidirect
14. C11×C22⋊#95C2semidirect
15. C4×C11×#95C2semidirect
38. C11×#386C4semidirect
135. C2×C42×C11D4semidirect
152. #14076C11direct (N × H)
307. C2×#388C2×C11semidirect
308. C2×#388C2×C11semidirect
310. C2×C4×C22⋊C4C2×C11semidirect
311. #1442C2×C11semidirect
312. #1440C2×C11semidirect
313. #1440C2×C11semidirect
315. #1437C2×C11semidirect
316. #1437C2×C11semidirect
317. #1436C2×C11semidirect
318. #1436C2×C11semidirect
319. C22⋊#95C2×C11semidirect
320. C4×#95C2×C11semidirect
521. #386C4×C11semidirect
696. C2×C42D4×C11semidirect
883. C11#14076direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×C11×#3902
C2×C11×#3882
C2×C11×#3862
C2×C4×C11×C22⋊C42
C11×#14422
C11×#14402
C11×#14382
C11×#14372
C11×#14362
C11×C22⋊#952
C4×C11×#952
#1407611